Recent advances and perspectives in four-component Dirac-Kohn-Sham calculations

Area of Science:

• Computational Chemistry
• Quantum Chemistry
• Theoretical Chemistry

Background:

• Accurate electronic structure calculations are crucial for understanding chemical systems.
• Heavy atoms introduce significant relativistic effects that require specialized computational methods.
• The four-component Dirac-Kohn-Sham (DKS) approach is a powerful tool for relativistic quantum chemistry.

Purpose of the Study:

• To review recent theoretical and computational advancements in the DKS approach.
• To describe a new implementation of an all-electron DKS method.
• To highlight the extended applicability and future potential of the DKS method.

Main Methods:

• Utilized a full relativistic four-component Dirac-Kohn-Sham (DKS) approach.
• Implemented an all-electron DKS method using G-spinor basis sets and Hermite Gaussian functions.
• Employed state-of-the-art density-fitting techniques and memory distributed parallelism.

Main Results:

• The DKS approach has been significantly advanced, extending its applicability to large clusters of heavy atoms.
• The new implementation facilitates more accurate electronic structure calculations for complex chemical systems.
• Demonstrated the potential for future developments, including four-current density functionals and real-time propagation.

Conclusions:

• The enhanced DKS approach offers unprecedented capabilities for studying heavy element chemistry.
• Future work will focus on incorporating advanced functionals and real-time dynamics for molecules in strong fields.
• This methodology paves the way for accurate simulations of relativistic effects and spin-orbit coupling in complex systems.